3D Plotting with symbolic variables

I want to 3D plot the T_AP_C1, T_AP_C2, T_AP_C3 varibales using a 3D plot with "mv" on the x-axis, "T_C" on the y-axis, and "T_AP_O" on the z-axis. And T_AP_C1, T_AP_C2, T_AP_C3 can be on a colorbar I guess. I tired doing it on my own and kept running into different errors along the way. I hope someone can help me do it.

syms mv T_C T_AP_O T_AP_C1 T_AP_C2 T_AP_C3

e1 = T_AP_C1 == T_AP_O*exp(-(6165254235452531*mv)/144115188075855872) - T_C*(exp(-(6165254235452531*mv)/144115188075855872) - 1);
e2 = T_AP_C2 == T_AP_O*exp(-(1488810760770343*mv)/9007199254740992) - T_C*(exp(-(1488810760770343*mv)/9007199254740992) - 1);
e3 = T_AP_C3 == T_AP_O*exp(-(6565192276897483*mv)/18014398509481984) - T_C*(exp(-(6565192276897483*mv)/18014398509481984) - 1);

[Torsten]

This would give a surface in 4d. As we live in three dimensions, it's not possible to accomplish.

[Ali Almakhmari]

Thats why I said T_AP_C1, T_AP_C2, T_AP_C3 (the fourth dimension variables) can be on a colorbar.

[Torsten]

Can you show an image for an example ? I can't imagine how it should look.

You have the three axis dimensions and a value for T_AP_C1, e.g. Where do you place this value ?

What you could plot are isosurfaces for T_AP_C1, i.e. 2d surfaces where T_AP_C1 has a constant fixed value.

[Ali Almakhmari]

https://www.mathworks.com/help/matlab/ref/colorbar.html

I know that you can plot in the x-axis, y-axis, and z-axis and then add a colorbar to refect the relative magntiude as a color

[Torsten]

What should be shown in the graphics ?

Only the coordinate axes and a colorbar ? I guess not.

So maybe you want to show the value of T_AP_C1, e.g., in a two-dimensional plane in the (mv,T_C,T_AP_O) coordinate system ?

Answer 1

[Sulaymon Eshkabilov]

If it is a symbolic expression, use fmesh(). Here is a good doc how to employ it: https://www.mathworks.com/help/matlab/ref/fmesh.html